Reduced density matrix
= Reduced density matrix
{title2=$\rho_A$}
{wiki}
= Reduced density operator
{synonym}
For a bipartite density operator $\rho_{AB}$, the reduced state of subsystem $A$ is the partial trace $\rho_A=\operatorname{Tr}_B\rho_{AB}$. Every measurement performed only on $A$ has outcome probabilities determined entirely by $\rho_A$.